When less is more visualizing basic inequalities /

The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Alsina, Claudi
مؤلف مشترك: ebrary, Inc
مؤلفون آخرون: Nelsen, Roger B.
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: [Washington, D.C.] : Mathematical Association of America, c2009.
سلاسل:Dolciani mathematical expositions ; no. 36
الموضوعات:
الوصول للمادة أونلاين:An electronic book accessible through the World Wide Web; click to view
الوسوم: إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
جدول المحتويات:
  • Representing positive numbers as lengths of segments
  • Representing positive numbers as areas or volumes
  • Inequalities and the existence of triangles
  • Using incircles and circumcircles
  • Using reflections
  • Using rotations
  • Employing non-isometric transformations
  • Employing graphs of functions
  • Additional topics.